Products of two involutions in classical groups of characteristic 2. (English) Zbl 0464.20029
MSC:
20G15 | Linear algebraic groups over arbitrary fields |
20F05 | Generators, relations, and presentations of groups |
15A21 | Canonical forms, reductions, classification |
Keywords:
finite-dimensional symplectic group; orthogonal group; quadratic form; product of involutions; indecomposable elementCitations:
Zbl 0168.03403References:
[1] | Djokovic, D. Z., Product of two involutions, Arch. Math. (Basel), 18, 582-584 (1967) · Zbl 0153.35502 |
[2] | Huppert, B., Isometrien von Vektorräumen, I, Arch. Math. (Basel), 35, 164-176 (1980) · Zbl 0438.15013 |
[4] | Kaplansky, I., Linear Algebra and Geometry (1974), Chelsea: Chelsea New York |
[5] | Wall, G. E., On the conjugacy classes in the unitary, symplectic and orthogonal groups, J. Austral. Math. Soc., 3, 1-62 (1963) · Zbl 0122.28102 |
[6] | Wonenburger, M. J., Transformations which are products of two involutions, J. Math. Mechan., 16, 327-338 (1966) · Zbl 0168.03403 |
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